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Help me please, The total number of ways of selecting six coins out of 20 one rupee coins, 10 fifty paise coins and 7 twenty-five paise coins is:

The total number of ways of selecting six coins out of 20 one rupee coins, 10 fifty paise coins and 7 twenty-five paise coins is:

  • Option 1)

    28

  • Option 2)

    56

  • Option 3)

    37C6

  • Option 4)

    None of these

 
Answers (1)
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As learnt in

Theorem of Combination -

Each of the different groups or selection which can be made by taking r things from n things is called a combination.

^{n}c_{r}=\frac{(n)!}{r!(n-r)!}

- wherein

Where 1\leq r\leq n

 

 Total coins=37

Number of selections=37C6

 


Option 1)

28

This option is incorrect.

Option 2)

56

This option is incorrect.

Option 3)

37C6

This option is correct.

Option 4)

None of these

This option is incorrect.

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